If I read the schematic correctly,
independent of drive adjustment the most sensitive stage within the tube preamp section is the drive section which will (always) saturate first.
If the graphic EQ is OFF then it should be possible to get an undistorted level at the FX-Send of at least around 0dBu .. +4dBu (rough estimation).
If you want to send more of level to the FX-send you may use the graphic EQ volume slider to add another +8dB to the FX-send which gives you a total level of around +10dBu.
The level could be furthermore increased by boosting the total graphic EQ bandwidth which would add another +12dB so you could gain the FX-send to a total of around +20dBu.
However if there is already a considerably boost with tube stage EQ then you may get the graphic EQ clipped if all sliders are all the way up. And then the level at FX-send would try to exceed +23dBu but, Headroom is off.
At least it should be possible to gain a signal level at the FX-send that is large enough to fit any needs.
The svp pro preamp is essentially the same preamp like it is for the svt 2 pro. I can't remember I'd ever had any issues with smallish signals. Never used the graphic EQ. I adjust the signal with gain just to get a "smooth" compression by none audible clipping/dirt, no drive, EQ adjustment to fit personal taste, most of the time some bass and treble boost.